Simplification of fractional order circuits and zero-pole change rule
XU Yu-hong
LI Chuang
TANG Rong-nian
CHEN Yang-quan
Abstract：The transfer function of fraction-order operators is generally obtained by the approximation algorithm.In this paper,by adjusting the zero-pole value of the transfer function,the effective frequency interval of continued fraction expansion(CFE)approximation function is extended and the approximate precision of Oustaloup method is improved.Operational transconductance amplifier(OTA)elements with adjustable parameters are selected to design two fractional order circuit structures.In the case of designing higher order operators,the circuit structure of the transfer function is relatively simple,the parameters of the zero-pole circuit structure are easy to design.In this paper,the parameter design rules of transfer function circuit structure are presented,which can simplify the circuit transfer function.In the circuit simulation and experiment part,circuit structure is built by simulation program with integrated circuit emphasis(SPICE)model,the circuit parameters of the two structures under different fractional order operators are designed,and the simulation results are compared with the actual circuit.According to the results of frequency response,the two circuit structures can simulate the characteristics of fractional order operators,and the operating frequency of the circuit is extended 1000 times.
Keywords：fractional order operatorzero-pole settingfrequency expansionfractional order circuit design
Publication Date：2025-06-30
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：10( 1142-1151 )